840788400 has 120 divisors (see below), whose sum is σ = 2700702144. Its totient is φ = 223596800.

The previous prime is 840788371. The next prime is 840788401. The reversal of 840788400 is 4887048.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (840788401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588487 + ... + 589913.

Almost surely, 2^840788400 is an apocalyptic number.

840788400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350351072).

840788400 is an abundant number, since it is smaller than the sum of its proper divisors (1859913744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

840788400 is a wasteful number, since it uses less digits than its factorization.

840788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 840788400 is about 28996.3514946277. The cubic root of 840788400 is about 943.8338966102.

The spelling of 840788400 in words is "eight hundred forty million, seven hundred eighty-eight thousand, four hundred".